This is the 5829th most frequent Russian word.
различным
"Различным" means "different" or "various" in English.
In this sentence, "различным" (razlichnym) modifies "образом" (obrazom), meaning 'ways' or 'manner', indicating that the manners or methods were varied.
Я встретился с людьми различным образом.
I met people in various ways.
Here, "различным" (razlichnym) modifies "стилем" (stilem), meaning 'style', suggesting that the paintings exhibited are of diverse artistic styles.
На выставке представлены картины различным стилем.
Paintings of various styles are presented at the exhibition.
In this case, "различным" (razlichnym) modifies "подходом" (podkhodom), meaning 'approach', highlighting that the methods of assistance vary.